%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN068+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:26:42 PM UTC 2026
% Result : Theorem 7.94s 2.08s
% Output : Refutation 7.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 8 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 165 ( 72 ~; 75 |; 18 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 104 ( 97 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( id(X2,X1)
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f6,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f8,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| ( ~ r1(X0)
& ~ r1(X1) )
| ( r1(X0)
& r1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f14,axiom,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ~ id(X3,X2)
| ~ r2(X0,X3) )
| ~ r2(X1,X2) )
| id(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3a) ).
fof(f18,axiom,
! [X0,X1] :
( ! [X2] :
( ~ id(X2,X1)
| ~ r1(X2) )
| ~ r2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
fof(f19,conjecture,
? [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ~ id(X0,X1) )
& ! [X3] :
( ~ id(X0,X3)
| ~ r1(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerosnononesexistid) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ~ id(X0,X1) )
& ! [X3] :
( ~ id(X0,X3)
| ~ r1(X3) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& id(X0,X1) )
| ? [X3] :
( id(X0,X3)
& r1(X3) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
! [X1] :
( ( id(X1,sK0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f23,plain,
! [X0,X2] :
( ( id(X2,sK1(X0))
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,sK1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f2]) ).
fof(f31,plain,
! [X0] :
( ( r1(sK21(X0))
& r2(sK21(X0),sK20(X0))
& id(X0,sK20(X0)) )
| ( id(X0,sK22(X0))
& r1(sK22(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0))],[f21]) ).
fof(f35,plain,
! [X1] :
( id(X1,sK0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X2,X0] :
( ~ id(X2,sK1(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X2,X0] :
( id(X2,sK1(X0))
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f48,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X1)
| r1(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2)
| id(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f90,plain,
! [X0] :
( id(X0,sK20(X0))
| r1(sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f91,plain,
! [X0] :
( id(X0,sK20(X0))
| id(X0,sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f92,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| r1(sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f93,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| id(X0,sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f94,plain,
! [X0] :
( r1(sK21(X0))
| r1(sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f95,plain,
! [X0] :
( id(X0,sK22(X0))
| r1(sK21(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f101,plain,
! [X0] :
( id(sK0,X0)
| ~ r1(X0) ),
inference(resolution,[],[f49,f35]) ).
fof(f104,plain,
! [X0] :
( id(sK22(X0),X0)
| r1(sK21(X0)) ),
inference(resolution,[],[f49,f95]) ).
fof(f130,plain,
! [X0] : r2(X0,sK1(X0)),
inference(resolution,[],[f36,f48]) ).
fof(f132,plain,
! [X0,X1] :
( ~ id(X0,sK1(X1))
| ~ r1(X0) ),
inference(resolution,[],[f130,f89]) ).
fof(f155,plain,
! [X0] :
( r1(sK21(sK1(X0)))
| ~ r1(sK22(sK1(X0))) ),
inference(resolution,[],[f104,f132]) ).
fof(f157,plain,
! [X0] : r1(sK21(sK1(X0))),
inference(forward_subsumption_resolution,[],[f155,f94]) ).
fof(f159,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X1) ),
inference(resolution,[],[f39,f132]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ id(X1,sK20(X2))
| ~ r2(X0,X1)
| id(X0,sK21(X2))
| r1(sK22(X2)) ),
inference(resolution,[],[f77,f92]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ id(X1,sK20(X2))
| ~ r2(X0,X1)
| id(X0,sK21(X2))
| id(X2,sK22(X2)) ),
inference(resolution,[],[f77,f93]) ).
fof(f170,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK21(X1))
| id(X1,sK22(X1))
| id(X1,sK22(X1)) ),
inference(resolution,[],[f167,f91]) ).
fof(f176,plain,
! [X0,X1] :
( id(X1,sK22(X1))
| id(X0,sK21(X1))
| ~ r2(X0,X1) ),
inference(duplicate_literal_removal,[],[f170]) ).
fof(f179,plain,
! [X0,X1] :
( id(X1,sK21(X0))
| ~ r2(X1,X0)
| ~ r1(sK22(X0))
| r1(X0) ),
inference(resolution,[],[f176,f52]) ).
fof(f186,plain,
! [X0,X1] :
( id(X1,sK21(X0))
| ~ r2(X1,X0)
| ~ r1(sK22(X0)) ),
inference(forward_subsumption_resolution,[],[f179,f159]) ).
fof(f224,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK21(X1))
| r1(sK22(X1))
| r1(sK22(X1)) ),
inference(resolution,[],[f166,f90]) ).
fof(f232,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK21(X1))
| r1(sK22(X1)) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f234,plain,
! [X0,X1] :
( id(X0,sK21(X1))
| ~ r2(X0,X1) ),
inference(forward_subsumption_resolution,[],[f232,f186]) ).
fof(f238,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(sK21(X1))
| r1(X0) ),
inference(resolution,[],[f234,f52]) ).
fof(f253,plain,
! [X0] :
( ~ r1(sK21(sK1(X0)))
| r1(X0) ),
inference(resolution,[],[f238,f130]) ).
fof(f254,plain,
! [X0] : r1(X0),
inference(forward_subsumption_resolution,[],[f253,f157]) ).
fof(f257,plain,
! [X0,X1] :
( ~ r1(X0)
| id(X1,X0)
| ~ id(X1,sK0) ),
inference(resolution,[],[f101,f50]) ).
fof(f269,plain,
! [X0,X1] :
( ~ id(X1,sK0)
| id(X1,X0) ),
inference(forward_subsumption_resolution,[],[f257,f254]) ).
fof(f270,plain,
! [X0,X1] :
( id(X0,X1)
| ~ r1(X0) ),
inference(resolution,[],[f269,f35]) ).
fof(f276,plain,
! [X0,X1] : id(X0,X1),
inference(forward_subsumption_resolution,[],[f270,f254]) ).
fof(f284,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f276,f132]) ).
fof(f289,plain,
$false,
inference(forward_subsumption_resolution,[],[f284,f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN068+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 21:58:18 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.33/1.89 % (3032400)Detected formulas, will run a generic FOF schedule.
% 6.33/1.89 % (3032406)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4272941986:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.33/1.89 % (3032410)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3757616678:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.33/1.89 % (3032405)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2842117951:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.33/1.89 % (3032409)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1288082465:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.33/1.89 % (3032411)dis-21_1_sil=8000:lcm=predicate:random_seed=4078199829:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.33/1.89 % (3032407)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=81680286:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.33/1.89 % (3032408)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2620812826:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.33/1.89 % (3032408)Instruction limit reached!
% 6.33/1.89 % (3032408)------------------------------
% 6.33/1.89 % (3032408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032408)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032408)Termination reason: Instruction limit
% 6.33/1.89 % (3032408)Termination phase: Saturation
% 6.33/1.89 % (3032408)Time elapsed: 0.065 s
% 6.33/1.89 % (3032408)Peak memory usage: 88 MB
% 6.33/1.89 % (3032408)Instructions burned: 109 (million)
% 6.33/1.89 % (3032409)Instruction limit reached!
% 6.33/1.89 % (3032409)------------------------------
% 6.33/1.89 % (3032409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032409)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032409)Termination reason: Instruction limit
% 6.33/1.89 % (3032409)Termination phase: Saturation
% 6.33/1.89 % (3032409)Time elapsed: 0.069 s
% 6.33/1.89 % (3032409)Peak memory usage: 88 MB
% 6.33/1.89 % (3032409)Instructions burned: 120 (million)
% 6.33/1.89 % (3032411)Instruction limit reached!
% 6.33/1.89 % (3032411)------------------------------
% 6.33/1.89 % (3032411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032411)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032411)Termination reason: Instruction limit
% 6.33/1.89 % (3032411)Termination phase: Saturation
% 6.33/1.89 % (3032411)Time elapsed: 0.076 s
% 6.33/1.89 % (3032411)Peak memory usage: 89 MB
% 6.33/1.89 % (3032411)Instructions burned: 130 (million)
% 6.33/1.89 % (3032410)Instruction limit reached!
% 6.33/1.89 % (3032410)------------------------------
% 6.33/1.89 % (3032410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032410)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032410)Termination reason: Instruction limit
% 6.33/1.89 % (3032410)Termination phase: Saturation
% 6.33/1.89 % (3032410)Time elapsed: 0.090 s
% 6.33/1.89 % (3032410)Peak memory usage: 89 MB
% 6.33/1.89 % (3032410)Instructions burned: 140 (million)
% 6.33/1.89 % (3032419)lrs+10_1_sil=8000:sp=occurrence:random_seed=504675723:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.33/1.89 % (3032420)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2037357499:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.33/1.89 % (3032421)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1751484136:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.33/1.89 % (3032422)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4273309430:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.33/1.89 % (3032420)Instruction limit reached!
% 6.33/1.89 % (3032420)------------------------------
% 6.33/1.89 % (3032420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032420)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032420)Termination reason: Instruction limit
% 6.33/1.89 % (3032420)Termination phase: Saturation
% 6.33/1.89 % (3032420)Time elapsed: 0.075 s
% 6.33/1.89 % (3032420)Peak memory usage: 89 MB
% 6.33/1.89 % (3032420)Instructions burned: 159 (million)
% 6.33/1.89 % (3032422)Instruction limit reached!
% 6.33/1.89 % (3032422)------------------------------
% 6.33/1.89 % (3032422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032422)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032422)Termination reason: Instruction limit
% 6.33/1.89 % (3032422)Termination phase: Saturation
% 6.33/1.89 % (3032422)Time elapsed: 0.124 s
% 6.33/1.89 % (3032422)Peak memory usage: 92 MB
% 6.33/1.89 % (3032422)Instructions burned: 248 (million)
% 6.33/1.89 % (3032419)Instruction limit reached!
% 6.33/1.89 % (3032419)------------------------------
% 6.33/1.89 % (3032419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032419)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032419)Termination reason: Instruction limit
% 6.33/1.89 % (3032419)Termination phase: Saturation
% 6.33/1.89 % (3032419)Time elapsed: 0.168 s
% 6.33/1.89 % (3032419)Peak memory usage: 90 MB
% 6.33/1.89 % (3032419)Instructions burned: 285 (million)
% 6.33/1.89 % (3032427)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2919792919:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.33/1.89 % (3032421)Instruction limit reached!
% 6.33/1.89 % (3032421)------------------------------
% 6.33/1.89 % (3032421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032421)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032421)Termination reason: Instruction limit
% 6.33/1.89 % (3032421)Termination phase: Saturation
% 6.33/1.89 % (3032421)Time elapsed: 0.190 s
% 6.33/1.89 % (3032421)Peak memory usage: 90 MB
% 6.33/1.89 % (3032421)Instructions burned: 326 (million)
% 6.33/1.89 % (3032427)Refutation not found, incomplete strategy
% 6.33/1.89 % (3032427)------------------------------
% 6.33/1.89 % (3032427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032427)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032427)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.89 % (3032427)Time elapsed: 0.047 s
% 6.33/1.89 % (3032427)Peak memory usage: 88 MB
% 6.33/1.89 % (3032427)Instructions burned: 83 (million)
% 6.33/1.89 % (3032428)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2651393016:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.33/1.89 % (3032429)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4065029169:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.33/1.89 % (3032431)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1493273983:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.33/1.89 % (3032429)Instruction limit reached!
% 6.33/1.89 % (3032429)------------------------------
% 6.33/1.89 % (3032429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032429)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032429)Termination reason: Instruction limit
% 6.33/1.89 % (3032429)Termination phase: Saturation
% 6.33/1.89 % (3032429)Time elapsed: 0.065 s
% 6.33/1.89 % (3032429)Peak memory usage: 88 MB
% 6.33/1.89 % (3032429)Instructions burned: 114 (million)
% 6.33/1.89 % (3032431)Instruction limit reached!
% 6.33/1.89 % (3032431)------------------------------
% 6.33/1.89 % (3032431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.89 % (3032431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.89 % (3032431)CaDiCaL version: 2.1.3
% 6.33/1.89 % (3032431)Termination reason: Instruction limit
% 6.33/1.89 % (3032431)Termination phase: Saturation
% 7.94/2.08 % (3032431)Time elapsed: 0.068 s
% 7.94/2.08 % (3032431)Peak memory usage: 89 MB
% 7.94/2.08 % (3032431)Instructions burned: 127 (million)
% 7.94/2.08 % (3032405)First to succeed.
% 7.94/2.08 % (3032405)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3032400"
% 7.94/2.08 % (3032427)------------------------------
% 7.94/2.08 % (3032427)------------------------------
% 7.94/2.08 % (3032435)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=132432973:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.94/2.08 % (3032436)lrs+10_1_sil=8000:sp=occurrence:random_seed=3668166269:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.94/2.08 % (3032435)Instruction limit reached!
% 7.94/2.08 % (3032435)------------------------------
% 7.94/2.08 % (3032435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.94/2.08 % (3032435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/2.08 % (3032435)CaDiCaL version: 2.1.3
% 7.94/2.08 % (3032435)Termination reason: Instruction limit
% 7.94/2.08 % (3032435)Termination phase: Saturation
% 7.94/2.08 % (3032435)Time elapsed: 0.067 s
% 7.94/2.08 % (3032435)Peak memory usage: 89 MB
% 7.94/2.08 % (3032435)Instructions burned: 114 (million)
% 7.94/2.08 % (3032438)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=764901229:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.94/2.08 % (3032440)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2594847924:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 7.94/2.08 % (3032405)Refutation found. Thanks to Tanya!
% 7.94/2.08 % SZS status Theorem for theBenchmark
% 7.94/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 7.94/2.08 % (3032405)------------------------------
% 7.94/2.08 % (3032405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.94/2.08 % (3032405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/2.08 % (3032405)CaDiCaL version: 2.1.3
% 7.94/2.08 % (3032405)Termination reason: Refutation
% 7.94/2.08 % (3032405)Time elapsed: 0.636 s
% 7.94/2.08 % (3032405)Peak memory usage: 128 MB
% 7.94/2.08 % (3032405)Instructions burned: 949 (million)
% 7.94/2.08 % (3032405)------------------------------
% 7.94/2.08 % (3032405)------------------------------
% 7.94/2.08 % (3032400)Success in time 1.038 s
% 7.94/2.08 % Vampire exiting
%------------------------------------------------------------------------------